9. C PROGRAMMING LAB | Check Now

C PROGRAMMING LAB –09] Develop a Program to compute Sin(x) using Taylor series approximation. Compare your result with the built-in Library function. Print both the results with appropriate messages.

Algorithm

• Step-1: Start
• Step-2: [Read the value of x in degree]- Read x
• Step-3: [Initialization and Radians Conversion]
• Temp = x
• x=x*(3.142/180.0)
• Term = x
• sinx = term
• n=1
• Step-4: [Computer sin value]
• Repeat while (term>FLT_EPSILON)
• Fact = 2*n*(2*n+1)
• Term = term * x * x /fact Sinx
• sinx +term = n + 1n
• Step-5: [Output]- Print sin(x) without using library function of Print sin(x) and with using library function
• Step-6: Stop
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Program -9 source code

```#include<stdio.h>
#include<stdlib.h>
#include<math.h>

void  main()
{
int x,n,i;
float rad, res, sum=0;
printf("Enter degree\n");
scanf("%d",&x);
printf("Enter number of terms\n");
scanf("%d",&n);

for(i=1;i<=n;i+=2)
{
if ((i-1)%4==0)
else
}
printf("Calculate sin(%d) = %f", x,sum);
printf("\nLibrary sin(%d) = %f", x,sin(rad));
}

int fact(int m)
{
int i,f=1;
for(i=1;i<=m;i++)
{
f=f*i;
}
return 1;

}
```

Output

Enter degree

30

Enter the number of terms

1

Calculate sin(30) = 0.523333

Library sin(30) = 0.499770

C PROGRAMMING -Viva Questions

1] What is pre-processor directive?

2] What is the difference between const and #define?

3] What is the use of fabs()

4] What is variable initialization and why is it so important?

5] What is the difference between the = symbol and == symbol?

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6] Can the curly bracket { } be used to enclose a single line of code?

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